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Hankel operators are of wide application in mathematics (functional analysis, operator theory, approximation theory) and engineering (control theory, systems analysis) and this account of them is both elementary and rigorous. The book is based on graduate lectures given to an audience of mathematicians and control engineers, but to make it reasonably self-contained, the author has included several appendices on mathematical topics unlikely to be met by undergraduate engineers. The main prerequisites are basic complex analysis and some functional analysis, but the presentation is kept straightforward, avoiding unnecessary technicalities so that the fundamental results and their applications are evident. Some 45 exercises are included.
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This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field.
Ordered algebraic structures --- Operator theory --- Analyse fonctionnelle --- Functional analysis --- Linear operators. --- Banach spaces. --- Operator ideals. --- Linear operators --- Ideals (Algebra) --- Banach spaces --- Operator ideals --- 517.983 --- 517.983 Linear operators. Linear operator equations --- Linear operators. Linear operator equations --- Linear maps --- Maps, Linear --- Operators, Linear --- Functions of complex variables --- Generalized spaces --- Topology --- Functional analysis. --- Espaces d'operateurs lineaires continus --- Espaces de banach --- Ideaux normes --- Operateurs lineaires
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This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the pth-power-summable fu
Banach spaces. --- Banach, Espaces de --- Banach spaces --- 517.983 --- Functions of complex variables --- Generalized spaces --- Topology --- Linear operators. Linear operator equations --- 517.983 Linear operators. Linear operator equations --- Normed linear spaces. --- Linear normed spaces --- Normed vector spaces --- Functional analysis --- Vector analysis
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SOFTCOVER EDITION Has violence changed over the centuries? Has it always held the same meanings for us? Will it always be a given in society? Taking the sociocultural long view, Violence in Europe analyzes the prevalence and role of violence—from street crime to terrorist attacks, homicide to genocide—in the evolution of human and national behavior. The editors and 14 colleagues in history, anthropology, sociology, and psychology focus on Northern and Western Europe, examining centuries of violent phenomena, from the cultural logic of the Middle Ages to today’s soccer riots and security alerts. The contributors’ examination of social constructions (honor codes, class and gender roles) and public ambivalence (acceptance, abhorrence, fascination) regarding violence sheds needed light on current dynamics in law enforcement, political systems, and what many have termed "the civilization of violence." Findings from Britain, France, Ireland, Belgium, and Scandinavia explore: The paradoxes of ethnic violence and insider/outsider thinking in an increasingly multicultural world. Trends in interpersonal violence during wartime and peacetime. The gendering of violence, from early French marital laws to London’s underground nightlife. The growth of cities: modernization, conflict, aggression. Modern prevention and surveillance strategies: effective solutions, complicating the problem, or some middle ground? Reflecting innovative methods of research and interpretation, Violence in Europe is thought-provoking and instructive for researchers and students in psychology and criminology. And with the mounting global presence of violence today, this is reading with profound implications for the future. "Any reader will appreciate the refreshing combination of theory and detail to be found here. Together with their collaborators Body-Gendrot and Spierenburg have produced a book that should be read by scholars, students and anybody interested in how violence transcends nations and cultures." H.V. Savitch Brown and Williamson Distinguished Research Professor The University of Louisville.
517.43 --- 517.983 --- 517.983 Linear operators. Linear operator equations --- Linear operators. Linear operator equations --- 517.43 Operators of vector calculus (symbolism of Hamilton) --- Operators of vector calculus (symbolism of Hamilton) --- Operator theory --- Pseudodifferential operators. --- Criminology. --- Social sciences. --- Criminology and Criminal Justice, general. --- Social Sciences, general. --- Crime --- Social sciences --- Criminals --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Study and teaching --- GERT (Network analysis) --- Opérateurs pseudo-différentiels --- Violence
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System theory
Mathematical control systems --- System Analysis --- System analysis. --- Analyse de systèmes --- Hilbert space --- Espace de Hilbert --- System analysis --- 517.982 --- 517.983 --- 517.9 --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 517.983 Linear operators. Linear operator equations --- Linear operators. Linear operator equations --- 517.982 Linear spaces with topology and order or other structures --- Linear spaces with topology and order or other structures --- Network analysis --- Network science --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Banach spaces --- Hyperspace --- Inner product spaces --- Hilbert space.
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